Question

Find the distance between points A(3, 1) and B(5,3).​

Answer 1

Step-by-step explanation:

may be this is right..

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thank you

Answer 2

$\Large{\underbrace{\underline{\textsf{Understanding the Question}}}}$

Here, this is a question from coordinate geometry where we have to find distance of 2 points. As the coordinates are given, we can find the distance by using distance formula. Before applying formula we have to consider their coordinates and identify absicca and ordinate.

So let's do it!!

Coordinates of A

⇒ (3,1)

Assume 3 as X1, and 1 as Y1

Coordinates of B

⇒ (5,3)

Assume 5 as X2 and 3 as Y2

Now applying formula:

$\textsf {Distance formula= \sqrt{\sf(X_2-X_1)^2+(Y_2-Y_1)^2} }$

Now putting values:

$\textsf {Distance of AB= \sqrt{\sf(5-3)^2+(3-1)^2} }$

$\textsf {Distance of AB= \sqrt{\sf(2)^2+(2)^2} }$

$\textsf {Distance of AB= \sqrt{\sf 4+4} }$

$\textsf {Distance of AB= \sqrt{\sf 8} }$

$\textsf {Distance of AB= \sf 2\sqrt2 }$

So the required distance is 2√2 units.

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